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444134310114 = 231119634355837
BaseRepresentation
bin1100111011010000111…
…01111100000011100010
31120110101111001121210010
412131220131330003202
524234041340410424
6540011003345350
744042030230035
oct6355035740342
91513344047703
10444134310114
111613a126a860
12720ab822256
1332b600a9841
14176d388701c
15b846336229
hex676877c0e2

444134310114 has 64 divisors (see below), whose sum is σ = 1020200463360. Its totient is φ = 127480288320.

The previous prime is 444134310091. The next prime is 444134310121. The reversal of 444134310114 is 411013431444.

444134310114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7926204 + ... + 7982040.

It is an arithmetic number, because the mean of its divisors is an integer number (15940632240).

Almost surely, 2444134310114 is an apocalyptic number.

444134310114 is an abundant number, since it is smaller than the sum of its proper divisors (576066153246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444134310114 is a wasteful number, since it uses less digits than its factorization.

444134310114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62215.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 444134310114 its reverse (411013431444), we get a palindrome (855147741558).

The spelling of 444134310114 in words is "four hundred forty-four billion, one hundred thirty-four million, three hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 6343 12686 19029 38058 55837 69773 111674 120517 139546 167511 209319 241034 335022 361551 418638 614207 723102 1060903 1228414 1325687 1842621 2121806 2651374 3182709 3685242 3977061 6365418 7954122 11669933 23339866 35009799 70019598 354174091 708348182 1062522273 2125044546 3895915001 6729307729 7791830002 11687745003 13458615458 20187923187 23375490006 40375846374 74022385019 148044770038 222067155057 444134310114